What is log_{w}((13x)/5) ?

The solution to log_{w}((13x)/5) is log_{w}(13)+log_{w}(x)-log_{w}(5)

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simplify log_{w}((13x)/5)

simplify

lo g_{w} (\frac{13 x}{5})

lo g_{w} (13) + lo g_{w} (x) - lo g_{w} (5)

Solution steps

lo g_{w} (\frac{13 x}{5})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{w} (\frac{13 x}{5}) = lo g_{w} (13 x) - lo g_{w} (5)

= lo g_{w} (13 x) - lo g_{w} (5)

Simplify

lo g_{w} (13 x) : lo g_{w} (13) + lo g_{w} (x)

= lo g_{w} (13) + lo g_{w} (x) - lo g_{w} (5)

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16 lo g_{4} (a) - 4 lo g_{4} (b)

What is log_{w}((13x)/5) ?
The solution to log_{w}((13x)/5) is log_{w}(13)+log_{w}(x)-log_{w}(5)